Atkin-Lehner |
2+ 3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
23562l |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
394240 |
Modular degree for the optimal curve |
Δ |
-150027572790106704 = -1 · 24 · 36 · 77 · 11 · 175 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 11- 7 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42288,-18923248] |
[a1,a2,a3,a4,a6] |
j |
-11472376678929153/205799139629776 |
j-invariant |
L |
2.7989297681177 |
L(r)(E,1)/r! |
Ω |
0.13994648840589 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2618d1 |
Quadratic twists by: -3 |